Weak-Field Thermal Hall Conductivity in the Mixed State of d-Wave Superconductors

Adam C. Durst; Ashvin Vishwanath; Patrick A. Lee

doi:10.1103/PhysRevLett.90.187002

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Weak-Field Thermal Hall Conductivity in the Mixed State of d-Wave Superconductors

Adam C. Durst, Ashvin Vishwanath, Patrick A. Lee

DOI 10.1103/PhysRevLett.90.187002 · Physical Review Letters

T1

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Abstract

Thermal transport in the mixed state of a d-wave superconductor is considered within the weak-field regime. We express the thermal conductivity, κxx, and the thermal Hall conductivity, κxy, in terms of the cross section for quasiparticle scattering from a single vortex. Solving for the cross section (neglecting the Berry phase contribution and the anisotropy of the gap nodes), we obtain κxx(H,T) and κxy(H,T) in surprisingly good agreement with the qualitative features of the experimental results for YBa2Cu3O6.99. In particular, we show that the simple, yet previously unexpected, weak-field behavior, κxy(H,T)∼TH, is that of thermally excited nodal quasiparticles, scattering primarily from impurities, with a small skew component provided by vortex scattering.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
YBa2Cu3O6.99 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	89	Pressure not reported	unknown